Abstract
Ab initio and DFT calculations indicate that the charge-localized forms (C 2v symmetry) of croconate (C 5O 5 2−) and rhodizonate (C 6O 6 2−) dianions cannot exist as a single entity. Instead, this form of the dianions can exist in the presence of counter cation(s) or in hydrogen-bonded networks. For the charge-delocalized (D 5h symmetry) form of C 5O 5 2−, it is found that the HF/3-21G(d) and CASSCF(n,m)/3-21G(d) levels of theory yield C–C and C–O bond lengths that are within the experimental range. However, for the D 6h tautomer of C 6O 6 2−, all the theoretical methods that have been tried led to optimized C–C bond lengths that are slightly (about 0.02–0.06 Å) too long.
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